112382437265280 has 1536 divisors, whose sum is σ = 506133458288640. Its totient is φ = 22298468548608.

The previous prime is 112382437265279. The next prime is 112382437265333. The reversal of 112382437265280 is 82562734283211.

112382437265280 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 8 + 2 + 43 + 72 + 6 + 528 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12679950129 + ... + 12679958991.

It is an arithmetic number, because the mean of its divisors is an integer number (329513970240).

Almost surely, 2^{112382437265280} is an apocalyptic number.

112382437265280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112382437265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253066729144320).

112382437265280 is an abundant number, since it is smaller than the sum of its proper divisors (393751021023360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112382437265280 is a wasteful number, since it uses less digits than its factorization.

112382437265280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10348 (or 10333 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 112382437265280 in words is "one hundred twelve trillion, three hundred eighty-two billion, four hundred thirty-seven million, two hundred sixty-five thousand, two hundred eighty".